{"id":"https://openalex.org/W3200849773","doi":"https://doi.org/10.1080/00029890.2022.2104072","title":"A Second Raabe\u2019s Test and Other Series Tests","display_name":"A Second Raabe\u2019s Test and Other Series Tests","publication_year":2022,"publication_date":"2022-08-17","ids":{"openalex":"https://openalex.org/W3200849773","doi":"https://doi.org/10.1080/00029890.2022.2104072","mag":"3200849773"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2022.2104072","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2104072","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074080893","display_name":"Edward Huynh","orcid":"https://orcid.org/0000-0003-1915-0693"},"institutions":[{"id":"https://openalex.org/I133999245","display_name":"University of Nevada, Las Vegas","ror":"https://ror.org/0406gha72","country_code":"US","type":"education","lineage":["https://openalex.org/I133999245"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Edward Huynh","raw_affiliation_strings":["Department of Mathematical Sciences, UNLV, Las Vegas, NV 89154, USA"],"raw_orcid":"https://orcid.org/0000-0003-1915-0693","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, UNLV, Las Vegas, NV 89154, USA","institution_ids":["https://openalex.org/I133999245"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074080893"],"corresponding_institution_ids":["https://openalex.org/I133999245"],"apc_list":null,"apc_paid":null,"fwci":0.4984,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.53905894,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"129","issue":"9","first_page":"865","last_page":"875"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13307","display_name":"Diverse Scientific and Engineering Research","score":0.8296999931335449,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13307","display_name":"Diverse Scientific and Engineering Research","score":0.8296999931335449,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/test","display_name":"Test (biology)","score":0.7365071773529053},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6962637305259705},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6455976963043213},{"id":"https://openalex.org/keywords/ratio-test","display_name":"Ratio test","score":0.6281677484512329},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5040084719657898},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.42514413595199585},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.4240197241306305},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4202496409416199},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3515104055404663},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20231926441192627},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17706337571144104},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06029161810874939}],"concepts":[{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.7365071773529053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6962637305259705},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6455976963043213},{"id":"https://openalex.org/C192914289","wikidata":"https://www.wikidata.org/wiki/Q165638","display_name":"Ratio test","level":2,"score":0.6281677484512329},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5040084719657898},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.42514413595199585},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.4240197241306305},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4202496409416199},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3515104055404663},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20231926441192627},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17706337571144104},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06029161810874939},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2022.2104072","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2104072","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2013460634","https://openalex.org/W2319245354","https://openalex.org/W2402796444"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W1996614773","https://openalex.org/W4387820098","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W1586813864"],"abstract_inverted_index":{"The":[0],"classical":[1,116],"D\u2019Alembert\u2019s":[2],"Ratio":[3,82,110],"Test":[4,83,106,121],"is":[5,49],"a":[6,18,80,95,134],"powerful":[7],"test":[8,33,48],"that":[9,86],"we":[10],"learn":[11],"from":[12],"calculus":[13],"to":[14,64,107],"determine":[15],"convergence":[16],"for":[17],"series":[19,52,99],"of":[20,25,29,41,97,104,115,129,137],"positive":[21],"terms.":[22],"Its":[23],"range":[24],"applicability":[26],"and":[27,56,112,122,133],"ease":[28],"computation":[30],"make":[31],"this":[32,66],"extremely":[34],"appealing.":[35],"However,":[36],"when":[37],"the":[38,42,47,108,130,138],"limiting":[39],"ratio":[40],"terms":[43],"equals":[44],"1,":[45],"then":[46],"inconclusive.":[50],"Several":[51],"tests":[53,69,117,132],"like":[54],"Raabe\u2019s":[55,105,140],"Gauss\u2019":[57],"Tests":[58],"have":[59],"been":[60],"proposed":[61],"in":[62],"order":[63],"address":[65],"case.":[67,91],"These":[68],"were":[70],"also":[71,87,126],"generalized":[72],"by":[73],"Kummer":[74],"through":[75],"Kummer\u2019s":[76,123],"Test.":[77,124,141],"More":[78],"recently,":[79],"Second":[81,109,139],"was":[84],"constructed":[85],"possessed":[88],"an":[89,102],"inconclusive":[90],"This":[92],"article":[93],"presents":[94],"survey":[96],"existing":[98],"tests,":[100],"introduces":[101],"extension":[103],"Test,":[111],"proposes":[113],"extensions":[114],"such":[118],"as":[119],"Gauss\u2019s":[120],"It":[125],"offers":[127],"proofs":[128],"aforementioned":[131],"brief":[135],"application":[136]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
